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Simplifying 5(7x + -5) = 10x Reorder the terms: 5(-5 + 7x) = 10x (-5 * 5 + 7x * 5) = 10x (-25 + 35x) = 10x Solving -25 + 35x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -25 + 35x + -10x = 10x + -10x Combine like terms: 35x + -10x = 25x -25 + 25x = 10x + -10x Combine like terms: 10x + -10x = 0 -25 + 25x = 0 Add '25' to each side of the equation. -25 + 25 + 25x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 25x = 0 + 25 25x = 0 + 25 Combine like terms: 0 + 25 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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